Question
Find a single repeater machine that will do the same work as hook-up.

Answer

Using law of exponents, $(a^m× a^n= a^{m+n})$ $[\therefore$ a is non-zero integer$]$
Repeator machine can do the work is equal to $100^2× 100^{10}$.
so, $(x100^{12})$ single machine can do the same work.

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